Relatively geometric actions on CAT(0) cube complexes
Group Theory
2022-03-09 v2 Geometric Topology
Abstract
We develop the foundations of the theory of relatively geometric actions of relatively hyperbolic groups on CAT(0) cube complexes, a notion introduced in our previous work [5]. In the relatively geometric setting we prove: full relatively quasi-convex subgroups are convex compact; an analog of Agol's Theorem; and a version of Haglund--Wise's Canonical Completion and Retraction.
Cite
@article{arxiv.2010.14441,
title = {Relatively geometric actions on CAT(0) cube complexes},
author = {Eduard Einstein and Daniel Groves},
journal= {arXiv preprint arXiv:2010.14441},
year = {2022}
}
Comments
19 pages, revised version to appear in J. Lond. Math. Soc